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Finding the Third Proportional to 66,182,328,265.50 and 141,565,892,517

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Solution

The third proportional to 66,182,328,265.50 and 141,565,892,517 is: 302,813,491,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,182,328,265.50 : 141,565,892,517 = 141,565,892,517 : x
  2. Step 2: Convert to fraction form
    66,182,328,265.50/141,565,892,517 = 141,565,892,517/x
  3. Step 3: Cross multiply
    66,182,328,265.50x = 141,565,892,517 × 141,565,892,517
  4. Step 4: Simplify right side
    66,182,328,265.50x = 20,040,901,924,134,796,132,352
  5. Step 5: Solve for x
    x = 20,040,901,924,134,796,132,352/66,182,328,265.50
  6. Step 6: Final answer
    x = 302,813,491,899.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.